The stable category of a left hereditary ring

Alex Martsinkovsky; Dali Zangurashvili

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arXiv · 1408.2904

The stable category of a left hereditary ring

Alex Martsinkovsky·Dali Zangurashvili

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Abstract

The (co)completeness problem for the (projectively) stable module category of an associative ring is studied. (Normal) monomorphisms and (normal) epimorphisms in such a category are characterized. As an application, we give a criterion for the stable category of a left hereditary ring to be abelian. By a structure theorem of Colby-Rutter, this leads to an explicit description of all such rings.

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Alex Martsinkovsky, Dali Zangurashvili. 2014-08-13. The stable category of a left hereditary ring. https://arxiv.org/abs/1408.2904

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